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Alex17521 [72]
3 years ago
12

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

, the number of defects per unit is distributed according to a Poisson distribution. Determine the standard deviation of the number of defects for 32 units.
Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

The answer is 4

Step-by-step explanation:

For a poisson distribution, the variance is equal to the mean. Since the average number of defects per product is 2, it means that the mean per product is 2. Hence for 32 units it is 16 divided by 2 which is 16.

Also, since the square root of variance is equal standard deviation, the square root of 16 is 4.

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Solute S has a partition coefficient of 5.9 between water (phase 1) and hexane (phase 2).
igor_vitrenko [27]

Answer:

(a) 0.0885 M

(b) 1.25

Step-by-step explanation:

Solute S has a partition coefficient of 5.9 between water (phase 1) and hexane (phase 2).

i.e Partition coefficient Kd = [S(hexane]/[S(water) = 5.9

to  calculate the concentration of S in hexane; we have;

[S(hexane]/0.015 = 5.9

[S(hexane)] = 5.9 x 0.015

= 0.0885 M

Question B say ,

If the volume of water is 85.0 mL

and the volume of hexane is 18.0 mL,

to find the quotient (mol S in hexane/mol S in water), we will multiply the

Partition coefficient Kd with volume of hexane divided  by volume of water

i.e Partition coefficient Kd = (moles/volume of S in hexane)/(moles/volume of S in water)

∴

(moles of S in hexane/moles of S in water) = Kd x (volume of hexane/volume of water)

= 5.9 x 18.0/85.0

= 1.25

5 0
3 years ago
Okay random but if you think Michael Jackson and Bruno Mars are good singers and dancers. Plz respond just curious???
Vesnalui [34]

Answer:

yeah

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Grade 9 transformation graph
yaroslaw [1]

Answer:

1) D

2) C

3) A

4) B

Step-by-step explanation:

Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.

1) g(x) = -3^x

When x = 0, we have:

g(0) = -3^0 = -1

Then we know that the graph of this function will be either A or D.

Now, as x goes to really large values, 3^x will eventually approximate to infinity.

Then - 3^x will approximate to negative infinnity.

From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.

2) h(x) = (1/3)^(-x) = 3^x

This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.

then the graph if this function is C.

3) k(x) = - (1/3)^x = -1/(3^x)

When x = 0

k(0) = -(1/3)^0 = -1

We have two options with a y-intersect at y = -1  (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.

4) g(x) =  3^(-x) = 1/(3^x)

g(0) = 1/(3^0) = 1/1 = 1

And same as before, as x increases, g(x) tends to zero.

Then the remaining graph (B) is the graph of this function.

3 0
3 years ago
Can you estimate 7533
Oduvanchick [21]

Based on your comment I assume you want to find 7,533 subtracted by 7,200. To estimate this, round 7,533 to the hundreds place, so 7,533 becomes 7,500.

7,500 - 7,200 = 300, using mental math.

7 0
3 years ago
The equation of a line is y=-5/8x
Lesechka [4]

Answer:

B)  slope of the line   \frac{-5}{8}  ;Y- intercept is none

slope of the line   m = \frac{-5}{8}

Y- intercept is none

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given equation of the line   y = \frac{-5}{8} x

The equation of the straight line in slope - intercept form

                        y = m x + c

                        y = \frac{-5}{8} x+0

slope of the line   m = \frac{-5}{8}

Y- intercept is none

6 0
2 years ago
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